ALLOYED HOT DIP IRON-ZINC-ALLOY PLATED STEEL PLATE HAVING EXCELLENT PRESS MOLDABILITY

Abstract: An alloyed hot-dip iron-zinc-alloy plated steel plate having an excellent press moldibility and a plurality of fine recesses satisfying the following conditions: (1) the number of fine recesses having a depth of not less than 2 µm is within the range of 200-8,200/mm² per 1 mm² of the plated layer; and (2) a total of the areas of the openings per unit area of these recesses in the plated layer accounts for 10-70 % of the same unit area. The plated steel plate mentioned above is manufactured by subjecting a cold rolled steel plate to zinc hot dipping in which a temperature region, in which an initial reaction temperature for the formation of an iron-aluminium alloy layer is generated, in a zinc hot dipping bath having 0.05-0.30 wt.% aluminium content is limited to 500 °-600 °C, alloying in which an alloying temperature is limited to 480 °-600 °C, and temper rolling. When the above-mentioned condition (2) is replaced by the condition that a relative load length tp (2 µm) in a profile curve is in the range of 30-90 %, excellent painting sharpness can be given to the plated steel plates.

Description: FIELD OF THE INVENTION The present invention relates to an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability. BACKGROUND OF THE INVENTION Alloying-treated iron-zinc alloy dip-plated steel sheets and zinciferous electroplated steel sheets have conventionally been used as outer shells for an automobile body, a home electric appliance and furniture. Recently, however, the alloying-treated iron-zinc dip-plated steel sheet is attracting greater general attention than the zinciferous electroplated steel sheet for the following reasons: (1) The zinciferous electroplated steel sheet having a relatively small plating weight, manufactured usually by subjecting a cold-rolled steel sheet having an adjusted surface roughness to a zinc electroplating treatment, is preferably employed as a steel sheet required to be excellent in finish appearance after painting and in corrosion resistance such as a steel sheet for an automobile body; (2) However, the steel sheet for an automobile body is required to exhibit a further excellent corrosion resistance; (3) In order to impart a further excellent corrosion resistance to the above-mentioned zinciferous electroplated steel sheet, it is necessary to increase a plating weight thereof, and the plating weight thus increased leads to a higher manufacturing cost of the zinciferous electroplated steel sheet; and (4) On the other hand, the alloying-treated iron-zinc alloy dip-plated steel sheet is excellent in electro-paintability, weldability and corrosion resistance, and furthermore, it is relatively easy to increase a plating weight thereof. However, in the above-mentioned conventional alloying-treated iron-zinc alloy dip-plated steel sheet, the difference in an iron content between the surface portion and the inner portion of the alloying-treated iron-zinc alloy dip-plating layer becomes larger according as the plating weight increases, because the alloying treatment is accomplished through the thermal diffusion. More specifically, a Γ-phase having a high iron content tends to be easily produced on the interface between the alloying-treated iron-zinc alloy dip-plating layer and the steel sheet, and a ζ-phase having a low iron content is easily produced, on the other hand, in the surface portion of the alloying-treated iron-zinc alloy dip-plating layer. The Γ-phase is more brittle as compared with the ζ-phase. In the alloying-treated iron-zinc alloy dip-plating layer which has a structure comprising the Γ-phase and a structure comprising the ζ-phase, a high amount of the Γ-phase results in breakage of the brittle Γ-phase during the press-forming, which leads to a powdery peeloff of the plating layer and to a powdering phenomenon. When the ζ-phase is present in the surface portion of the alloying-treated iron-zinc alloy dip-plating layer, on the other hand, the ζ-phase structure adheres to a die during the press-forming because the ζ-phase has a relatively low melting point, leading to a higher sliding resistance, and this poses a problem of the occurrence of die galling or press cracking. In the above-mentioned conventional alloying-treated iron-zinc alloy dip-plated steel sheet, particularly in an alloying-treated iron-zinc alloy dip-plated steel sheet having a large plating weight, furthermore, an effect of improving image clarity after painting of the alloying-treated iron-zinc alloy dip-plated steel sheet cannot be expected from adjustment of surface roughness of the steel sheet before a zinc dip-plating treatment. Various methods have therefore been proposed to improve press-formability and/or image clarity after painting of an alloying-treated iron-zinc alloy dip-plated steel sheet. Japanese Patent Provisional Publication No. 4-358 discloses a method for improving press-formability of an alloying-treated iron-zinc alloy dip-plated steel sheet by applying any of various high-viscosity rust-preventive oils and solid lubricants onto a surface of the alloying-treated iron-zinc alloy dip-plated steel sheet (hereinafter referred to as the "prior art 1"). Japanese Patent Provisional Publication No. 1-319,661 discloses a method for improving press-formability of an alloying-treated iron-zinc alloy dip-plated steel sheet by forming a plating layer having a relatively high hardness, such as an iron-group metal alloy plating layer on a plating layer of the alloying-treated iron-zinc alloy dip-plated steel sheet; Japanese Patent Provisional Publication No. 3-243,755 discloses a method for improving press-formability of an alloying-treated iron-zinc alloy dip-plated steel sheet by forming an organic resin film on a plating layer of the alloying-treated iron-zinc alloy dip-plated steel sheet; and Japanese Patent Provisional Publication No. 2-190,483 discloses a method for improving press-formability of an alloying-treated iron-zinc alloy dip-plated steel sheet by forming an oxide film on a plating layer of the alloying-treated iron-zinc alloy dip-plated steel sheet (methods for improving press-formability of an alloying-treated iron-zinc alloy dip-plated steel sheet by forming another layer or another film on the plating layer of the alloying-treated iron-zinc alloy dip-plated steel sheet as described above, being hereinafter referred to as the "prior art 2"). Japanese Patent Provisional Publication No. 2-274,859 discloses a method for improving press-formability and image clarity after painting of an alloying-treated iron-zinc alloy dip-plated steel sheet by subjecting the alloying-treated zinc dip-plated steel sheet to a temper-rolling treatment with the use of rolls of which surfaces have been applied with a dull-finishing treatment by means of a laser beam, i.e., with the use of laser-textured dull rolls, to adjust a surface roughness thereof (hereinafter referred to as the "prior art 3"). Japanese Patent Provisional Publication No. 2-57,670 discloses a method for improving press-formability of an alloying-treated zinc dip-plated steel sheet by imparting, during an annealing step in a continuous zinc dip-plating line, a surface roughness comprising a center-line mean roughness (Ra) of up to 1.0 µm to a steel sheet through inhibition of an amount of an oxide film formed on the surface of the steel sheet, and imparting a surface roughness having a peak counting (PPI) of at least 250 (a cutoff value of 1.25 µm) to an alloying-treated zinc dip-plating layer (hereinafter referred to as the "prior art 4"). However, the prior art 1 has the following problems: It is not easy to remove a high-viscosity rust-preventive oil or a solid lubricant applied over the surface of the alloying-treated iron-zinc alloy dip-plated steel sheet, so that it is inevitable to use an organic solvent as a degreasing agent for facilitating removal of such a rust-preventive oil or a solid lubricant, thus resulting in a deteriorated environment of the press-forming work site. The prior art 2 not only requires a high cost, but also leads to deterioration of operability and productivity. The prior art 3 has the following problems: (a) Because each of the numerous fine concavities formed on the alloying-treated iron-zinc alloy dip-plating layer on the surface of the steel sheet has such a large area as from 500 to 10,000 µm 2 , it is difficult to keep a press oil received in these concavities, and the press oil tends to easily flow out from the concavities. Consequently, the press oil flows out from the concavities during the transfer of the steel sheet in the press-forming step, thus decreasing press-formability. (b) Because, from among the above-mentioned numerous fine concavities, a length of a flat portion between two adjacent concavities is relatively large as from 50 to 300 µm, improvement of press-formability by keeping the press oil in the concavities is limited to a certain extent. More specifically, even when the press oil is kept in these concavities, lack of the press oil occurs while a die passes on the above-mentioned flat portion during the press-forming because of the long flat portion between two adjacent concavities, so that the sudden increase in coefficient of friction causes a microscopic seizure, resulting in die galling and press cracking. (c) When the length of the flat portion between two adjacent concavities from among the numerous fine concavities is so large as described above, a so-called surface waviness component, which deteriorates image clarity after painting, remains on the surface of the plating layer of the alloying-treated zinc dip-plated steel sheet, thus resulting in a decreased image clarity after painting. (d) When, after the manufacture of an alloying-treated iron-zinc alloy dip-plated steel sheet, forming numerous fine concavities having the above-mentioned shape and size on the surface of the alloying-treated iron-zinc alloy dip-plating layer by applying a temper-rolling treatment to the alloying-treated iron-zinc alloy dip-plated steel sheet with the use of the laser-textured dull rolls, the alloying-treated iron-zinc alloy dip-plating layer is subjected to a serious deformation during the temper-rolling treatment, and this causes easy peeloff of the plating layer. (e) Application of the dull-finishing treatment to the roll surface by means of a laser beam requires a large amount of cost, and furthermore, it is necessary to frequently replace the laser-textured dull rolls because of serious wear of the numerous fine concavities formed on the surface thereof. The prior art 4 has the following problems: (a) When using, as a substrate sheet for plating, a steel sheet having a surface roughness as represented by a center-line mean roughness (Ra) of up to 1.0 µm, dross tends to easily adhere onto the surface of the steel sheet because of a large area of the close contact portion of the steel sheet with a roll in the zinc-dip-plating bath. It is therefore impossible to prevent defects in the plated steel sheet caused by adhesion of dross to the surface of the steel sheet. When using a steel sheet applied with a temper rolling with the use of dull rolls, on the other hand, dross hardly adheres onto the surface of the steel sheet because of a small area of the close contact portion of the steel sheet with a roll in the zinc dip-plating bath, but is blown back to the zinc dip-plating bath during the gas wiping. As a result, the plated steel sheet is free from defects caused by dross. (b) The prior art 4 imparts a high peak counting (PPI) to an alloying-treated iron-zinc alloy dip-plating layer through an alloying reaction of the plating layer itself during the alloying treatment of the zinc dip-plating layer. With a high peak counting (PPI) alone, however, not only self-lubricity is insufficient, but also the amount of the press oil kept on the surface of the plating layer is small. As a result, lack of the press oil occurs while the die passes on the surface of the alloying-treated iron-zinc alloy dip-plating layer during the press-forming, and the sudden increase in coefficient of friction causes a microscopic seizure, resulting in die galling and press cracking. (c) In the alloying-treated iron-zinc alloy dip-plated steel sheet of the prior art 4, while the number of fine concavities per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer is satisfactory, no consideration is made on a bearing length ratio tp (2 µm). It is therefore impossible to impart an excellent image clarity after painting to the alloying-treated iron-zinc alloy dip-plated steel sheet. Under such circumstances, there is a strong demand for development of (1) an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability, which enables to solve the problems involved in the prior arts 1 to 4 and (2) an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting, which enables to solve the problems involved in the prior arts 3 and 4. Therefore, a first object of the present invention is to provide an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability, which enables to solve the above-mentioned problems involved in the prior arts 1 to 4. A second object of the present invention is to provide an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting, which enables to solve the above-mentioned problems involved in the prior arts 3 and 4. DISCLOSURE OF THE INVENTION In accordance with the first object of the present invention, there is provided an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability, which comprises: a steel sheet; and an alloying-treated iron-zinc alloy dip-plating layer formed on at least one surface of said steel sheet, said alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities on the surface thereof; characterized in that: the number of fine concavities having a depth of at least 2 µm from among said numerous fine concavities is within a range of from 200 to 8,200 per mm 2 of said alloying-treated iron-zinc alloy dip-plating layer; and the total opening area per unit area of said fine concavities having a depth of at least 2 µm in said alloying-treated iron-zinc alloy dip-plating layer, is within a range of from 10 to 70% of said unit area. In accordance with the second object of the present invention, there is provided an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting, which comprises: a steel sheet; and an alloying-treated iron-zinc alloy dip-plating layer formed on at least one surface of said steel sheet, said alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities on the surface thereof: characterized in that: the number of fine concavities having a depth of at least 2 µm from among said numerous fine concavities is within a range of from 200 to 8,200 per mm 2 of said alloying-treated iron-zinc alloy dip-plating layer; and said fine concavities having a depth of at least 2 µm further satisfy the following condition: a bearing length ratio tp (2 µm) is within a range of from 30 to 90%, said bearing length ratio tp (2 µm) being expressed, when cutting a profile curve over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak in said profile curve by 2 µm, by a ratio in percentage of a total length of cut portions thus determined of said alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to said profile curve, relative to said prescribed length of said profile curve. BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a schematic descriptive view illustrating a profile of a roughness curve having a cutoff value is 0.8 mm, which corresponds to an alloying-treated iron-zinc alloy dip-plated steel sheet of a second embodiment of the invention; Fig. 2 is a schematic vertical sectional view of the alloying-treated iron-zinc alloy dip-plated steel sheet of the second embodiment of the invention; Fig. 3 is a schematic descriptive view illustrating a profile curve which corresponds to an alloying-treated iron-zinc alloy dip-plated steel sheet of a third embodiment of the invention; Fig. 4 is a schematic descriptive view illustrating a profile curve which corresponds to an alloying-treated iron-zinc alloy dip-plated steel sheet of a fourth embodiment of the invention; Fig. 5 is a graph illustrating a relationship between an assessment value of image clarity after painting (hereinafter referred to as the "NSIC-value" [an abbreviation of "Nippon Paint Suga Test Instrument Image Clarity"]), a center-line mean roughness (Ra) and a filtered center-line waviness (Wca) of an alloying-treated iron-zinc alloy dip-plated steel sheet; Fig. 6 is a schematic descriptive view illustrating 21 profile curves sampled with the use of a three-dimensional stylus profilometer when analyzing a wavelength of a surface profile of an alloying-treated iron-zinc alloy dip-plated steel sheet; Fig. 7 is a graph illustrating a relationship between a wavelength of a surface profile and a power thereof, obtained through a wavelength analysis, in amplitude spectra of an alloying-treated iron-zinc alloy dip-plated steel sheet; Fig. 8 is a graph illustrating a relationship between a correlation coefficient between an NSIC-value and amplitude spectra of a surface profile in a certain wavelength region of an alloying-treated iron-zinc alloy dip-plated steel sheet, on the one hand, and a wavelength of a surface profile of the alloying-treated iron-zinc alloy dip-plated steel sheet, on the other hand; Fig. 9 is a graph illustrating a relationship between a wavelength of a surface profile and a power thereof, for each of cold-rolled steel sheets subjected to a cold-rolling treatment using, at least at a final roll stand in a cold-rolling mill, rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is within a range of from 0.1 to 0.8u m, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the cold-rolling treatment, is up to 200 µm 2 , and for each of a plurality of alloying-treated iron-zinc alloy dip-plated steel sheets manufactured under different conditions using the above-mentioned cold-rolled steel sheets; Fig. 10 is a graph illustrating a relationship between a wavelength of a surface profile and a power thereof, for each of cold-rolled steel sheets subjected to a cold-rolling treatment using, at least at a final roll stand in a cold-rolling mill, rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is within a range of from 0.1 to 0.8 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the cold-rolling treatment, is up to 500 µm 3 , and for each of a plurality of alloying-treated iron-zinc alloy dip-plated steel sheets manufactured under different conditions using the above-mentioned cold-rolled steel sheets; Fig. 11 is a graph illustrating, in an alloying-treated iron-zinc alloy dip-plated steel sheet manufactured by a conventional method including a conventional temper-rolling treatment using ordinary temper-rolling rolls, a relationship between an elongation rate of the plated steel sheet brought about by the temper-rolling treatment, on the one hand, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm of the cold-rolled steel sheet, on the other hand; Fig. 12 is a graph illustrating, in alloying-treated iron-zinc alloy dip-plated steel sheets manufactured by any one of the methods, which include a temper-rolling treatment using the specific rolls, a relationship between an elongation rate of the plated steel sheet brought about by the temper-rolling treatment, on the one hand, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm of the cold-rolled steel sheet, on the other hand; Fig. 13 is a graph illustrating a relationship between an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm of an alloying-treated iron-zinc alloy dip-plated steel sheet and an NSIC-value thereof; Fig. 14 is a graph illustrating a relationship between an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm for each of a cold-rolled steel sheet and an alloying-treated iron-zinc alloy dip-plated steel sheet, on the one hand, and an elongation rate of a plated steel sheet brought about by a temper-rolling treatment; Fig. 15 is a scanning-type electron microphotograph of a surface structure of an alloying-treated iron-zinc alloy dip-plated steel sheet of a first embodiment of the first invention; Fig. 16 is a scanning-type electron microphotograph of a surface structure of a conventional alloying-treated iron-zinc alloy dip-plated steel sheet; Fig. 17 is a schematic front view illustrating a frictional coefficient measurer used for evaluating press-formability; Fig. 18 is a schematic front view illustrating a draw-bead tester used evaluating powdering resistance; and Fig. 19 is a partially enlarged schematic front view of the draw-bead tester shown in Fig. 18. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS From the above-mentioned point of view, extensive studies were carried out to develop (1) an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability, which enables to solve the problems involved in the prior arts 1 to 4 and (2) an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting, which enables to solve the problems involved in the prior arts 3 and 4. As a result, the following findings were obtained regarding an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability, which comprises: a steel sheet; and an alloying-treated iron-zinc alloy dip-plating layer formed on at least one surface of the steel sheet, the alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities on the surface thereof: (a) it is possible to provide an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability, which enables to solve the problems involved in the prior arts 1 to 4, by limiting the number of fine concavities having a depth of at least 2 µm from among the numerous fine concavities within a range of from 200 to 8,200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, and limiting the total opening area per unit area of the fine concavities having a depth of at least 2 µm in the alloying-treated iron-zinc alloy dip-plating layer within a range of from 10 to 70% of the unit area; (b) it is possible to provide an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting, which enables to solve the problems involved in the prior arts 3 and 4, by limiting the number of fine concavities having a depth of at least 2 µm from among the numerous fine concavities within a range of from 200 to 8,200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, and by further causing the fine concavities having a depth of at least 2 µm to satisfy the condition that a bearing length ratio tp (2 µm) is within a range of from 30 to 90%, the bearing length ratio tp (2 µm) being expressed, when cutting a profile curve over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak in the profile curve by 2 µm, by a ratio in percentage of a total length of cut portions thus determined of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, relative to the prescribed length of the profile curve. Now, an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability of a first embodiment of the invention is described in detail below. In general, press cracking during the press-forming occurs when flow resistance of a steel sheet into a die exceeds the fracture limit of the steel sheet. Flow resistance of a steel sheet into a die comprises deformation resistance during bending and stretching the steel sheet and frictional resistance of the steel sheet. In order to reduce flow resistance of the steel sheet into the die, therefore, it is effective to reduce frictional resistance of the steel sheet surface. Frictional resistance during the press-forming occurs when the die moves relative to the steel sheet surface in contact with the die, and increases when there occurs adhesion of the steel sheet to the die caused by the direct contact between the die and the steel sheet. Usually, during the press-forming, increase in frictional force is prevented by forming a press oil film on the contact interface between the die and the steel sheet. When the contact surface pressure between the die and the steel sheet is high, however, the press oil film is broken, leading to the direct contact between the die and the steel sheet, thereby causing the increase in frictional resistance. In order to inhibit the increase in frictional resistance under such circumstances, the steel sheet should have a high keeping ability of the press oil film. For these reasons, the alloying-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention comprises a steel sheet, and an alloying-treated iron-zinc alloy dip-plating layer formed on at least one surface of the steel sheet and having numerous fine concavities on the surface thereof. In the alloying-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention, the press oil is effectively kept in the above-mentioned numerous fine concavities, thereby independently forming numerous microscopic pools for the press oil on the contact interface between the die and the alloying-treated iron-zinc alloy dip-plated steel sheet, by causing these numerous fine concavities to satisfy the following conditions: (1) the number of fine concavities having a depth of at least 2 µm from among the numerous fine concavities is within a range of from 200 to 8,200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer; and (2) the total opening area per unit area of the fine concavities having a depth of at least 2 µm in the alloying-treated iron-zinc alloy dip-plating layer, is within a range of from 10 to 70% of the unit area. The press oil thus received in the numerous microscopic pools bears only part of the contact surface pressure even under a high contact surface pressure between the die and the alloying-treated iron-zinc alloy dip-plated steel sheet, whereby the direct contact between the die and the steel sheet is prevented, making available an excellent press-formability. The reasons of limiting values in the conditions regarding the above-mentioned numerous fine concavities are described. With a depth of the numerous fine concavities of under 2 µm, it is impossible to form microscopic pools capable of receiving the press oil in a sufficient amount on the alloying-treated iron-zinc alloy dip-plating layer. The depth of the concavities in a prescribed number from among the numerous fine concavities should be limited to at least 2 µm. When the number of the concavities having a depth of at least 2 µm from among the numerous fine concavities is under 200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, the length of a flat portion between two adjacent concavities from among the numerous fine concavities becomes too large. In such a case, even when the press oil is kept in these concavities, lack of the press oil occurs while a die passes on the above-mentioned flat portion during the press-forming because of the long flat portion between two adjacent concavities, so that the sudden increase in coefficient of friction causes a microscopic seizure. Because of a high surface pressure applied onto a single concavity, furthermore, the press oil film is broken, causing die galling and press cracking. On the other hand, even when the number of fine concavities having a depth of at least 2 µm is over 8,200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, no adverse effect is exerted on press-formability and image clarity after painting of the alloying-treated iron-zinc alloy dip-plated steel sheet. However, it is technically difficult and is not practical to form such extremely numerous fine concavities. The number of fine concavities having a depth of at least 2 µm should therefore be limited within a range of from 200 to 8,200, and more preferably, within a range of from 500 to 3,000 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer. When the total opening area per a unit area of the fine concavities having a depth of at least 2 µm in the alloying-treated iron-zinc alloy dip-plating layer is under 10% of the unit area, there would be a shortage of the amount the press oil kept in the concavities. As a result, a shortage of the press oil is caused while a die passes on the flat portion between two adjacent concavities during the press-forming. Furthermore, the shortage of the amount of the press oil kept in the concavities makes it impossible to obtain a static pressure sufficient to resist the contact surface pressure between the die and the steel sheet. This causes breakage of the press oil film, resulting in die galling and press cracking. On the other hand, when the total opening area per the unit area of the fine concavities having a depth of at least 2 µm in the alloying-treated iron-zinc alloy dip-plating layer is over 70%, an area of the flat portion between two adjacent concavities would remarkably be reduced, so that the flat portion may be broken. The total opening area per the unit area of the fine concavities having a depth of at least 2 µm in the alloying-treated iron-zinc alloy dip-plating layer should therefore be limited within a range of from 10 to 70% of the unit area. In the alloying-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention, the fine concavities having a depth of at least 2 µm satisfy the condition as described above. In the alloying-treated iron-zinc alloy dip-plated steel sheet of a second embodiment of the invention, in contrast, the fine concavities having a depth of at least 2 µm satisfy not only the above-mentioned condition, but also the following condition that: a bearing length ratio tp (80%) is up to 90%, the bearing length ratio tp (80%) being expressed, when cutting a roughness curve having a cutoff value of 0.8 mm over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough in the roughness curve, by a ratio in percentage of a total length of cut portions thus determined of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the roughness curve, relative to the prescribed length of the roughness curve, thereby permitting a further improvement of press-formability of the alloying-treated iron-zinc alloy dip-plated steel sheet. Fig. 1 is a schematic descriptive view illustrating a profile of a roughness curve having a cutoff value of 0.8 mm, which corresponds to the alloying-treated iron-zinc alloy dip-plated steel sheet of the second embodiment of the invention. In Fig. 1, 1 is a straight line, i.e., a mean line of a roughness curve, for which the square-sum of deviations from the roughness curve becomes the least over a prescribed length (L) of the roughness curve having a cutoff value of 0.8 mm; 2 is a straight line parallel to the mean line 1 and passing through the highest peak; 3 is a straight line parallel to the mean line 1 and passing through the lowest trough; 4 is a straight line parallel to the mean line 1 and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough; and ℓ 1 , ℓ 2 , ℓ 3 , ℓ 4 and ℓ 5 are respective lengths of cut portions of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the roughness curve, which respectively lengths are determined by cutting the roughness curve by means of the straight line 4 over the prescribed length (L). Here, a bearing length ratio tp (80%) is a ratio in percentage of the total length of cut portions of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the roughness curve, relative to the prescribed length of the roughness curve, which cut portions are determined by cutting the roughness curve having a cutoff value of 0.8 mm over the prescribed length (L) thereof by means of the straight line 4 parallel to the horizontal mean line 1 and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough in the roughness curve. The bearing length ratio tp (80%) is expressed by the following formula: tp (80%) = (ℓ 1 + ℓ 2 + ℓ 3 + ℓ 4 + ℓ 5 )/L x 100 (%) By keeping the value of the bearing length ratio tp (80%) to up to 90%, it is possible to keep the press oil in a sufficient amount in the numerous fine concavities, thereby enabling to impart a more excellent press-formability to the alloying-treated iron-zinc alloy dip-plated steel sheet. Fig. 2 is a schematic vertical sectional view illustrating the alloying-treated iron-zinc alloy dip-plated steel sheet of the second embodiment of the invention. In Fig. 2, 5 is a steel sheet, and 6 is an alloying-treated iron-zinc alloy dip-plating layer formed on the steel sheet 5. As is clear from Fig. 2, the maximum depth of concavities 12 formed on the alloying-treated iron-zinc alloy dip-plating layer 6 is smaller than the minimum thickness of the alloying-treated iron-zinc alloy dip-plating layer 6. Therefore, although the thickness of the alloying-treated iron-zinc alloy dip-plating layer 6 becomes locally thinner, there is no portion in which the steel sheet 5 is exposed in the open air, whereby the above-mentioned alloying-treated iron-zinc alloy dip-plated steel sheet has excellent press-formability and excellent corrosion resistance. The fact that the alloying-treated iron-zinc alloy dip-plated steel sheet of the above-mentioned first embodiment of the invention has a construction comprising a steel sheet and an alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities formed thereon, is not illustrated in a drawing. However, the alloying-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention has also the same construction as that of the alloying-treated iron-zinc alloy dip-plated steel sheet of the second embodiment of the invention as shown in Fig. 2. Now, an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting of a third embodiment of the invention is described in detail with reference to Fig. 3. The fact that the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention has a construction comprising a steel sheet and an alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities formed thereon, is not illustrated in a drawing. However, the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention has also the same construction as that of the alloying-treated iron-zinc alloy dip-plated steel sheet of the second embodiment of the invention as shown in Fig. 2. As described above as to the alloy-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention, it is important for the steel sheet to have a high keeping ability of the press oil film in order to inhibit the increase in frictional resistance during the press-forming. For these reasons, the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention comprises a steel sheet, and an alloying-treated iron-zinc alloy dip-plating layer formed on at least one surface of the steel sheet and having numerous fine concavities on the surface thereof. In the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention, the press oil is effectively kept in the above-mentioned numerous fine concavities, thereby independently forming numerous microscopic pools for the press oil on the contact interface between the die and the alloying-treated iron-zinc alloy dip-plated steel sheet, by causing these fine concavities to satisfy the following conditions: (1) that the number of fine concavities having a depth of at least 2 µm from among the numerous fine concavities is within a range of from 200 to 8,200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer; and (2) that the fine concavities having a depth of at least 2 µm further satisfies the following condition: that a bearing length ratio tp (2 µm) is within a range of from 30 to 90%, this bearing length ratio tp (2 µm) being expressed, when cutting a profile curve over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak in the profile curve by 2 µm, by a ratio in percentage of a total length of cut portions thus determined of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, relative to the prescribed length of the profile curve. Since the press oil received in the numerous micro-pools bears only part of the contact surface pressure even under a high contact surface pressure between the die and the alloying-treated iron-zinc alloy dip-plated steel sheet, thus enabling to avoid the direct contact between the die and the steel sheet and to obtain a satisfactory press-formability. Now, the reasons of limiting values in the conditions regarding the above-mentioned numerous fine concavities are described below. The reasons of the limitations regarding the depth of the numerous fine concavities in the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention are the same as the reasons of limitations described as to the alloying-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention. Description thereof is therefore omitted here. When the number of the concavities having a depth of at least 2 µm from among the numerous fine concavities is under 200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, the length of a flat portion between two adjacent concavities from among the numerous fine concavities becomes excessively large, as in the case of the alloying-treated iron-zinc dip-plated steel sheet of the first embodiment of the invention described above. In such a case, even when the press oil is kept in these concavities, lack of the press oil occurs while a die passes on the above-mentioned flat portion during the press-forming because of the long flat portion between to adjacent concavities, so that the sudden increase in coefficient of friction causes a microscopic seizure. Because of a high surface pressure applied onto a single concavity, furthermore, the press oil film is broken, which in turn causes die galling and press cracking. In addition to this problem, when the number of fine concavities having a depth of at least 2 µm is under 200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, it is impossible to eliminate a surface profile of the alloying-treated iron-zinc alloy dip-plated steel sheet, which has a wavelength within a range of from 100 to 2,000 µm exerting an adverse effect on image clarity after painting, and consequently, it is impossible to impart an excellent image clarity after painting to the alloying-treated iron-zinc alloy dip-plated steel sheet. On the other hand, even when the number of fine concavities having a depth of at least 2 µm is over 8,200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, no adverse effect is exerted on press-formability and image clarity after painting of the alloying-treated iron-zinc alloy dip-plated steel sheet, as in the case of the alloying-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention described above. It is however technically difficult and is not practical to form such extremely numerous fine concavities. Therefore, the number of fine concavities having a depth of at least 2 µm should be limited within a range of from 200 to 8,200, and more preferably, within a range of from 500 to 3,000 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer. Fig. 3 is a schematic descriptive view illustrating a profile curve which corresponds to the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention. In Fig. 3, 1 is a straight line, i.e., a mean line of a profile curve for which the square-sum of deviations from the profile curve becomes the least over a prescribed length (L) of the profile curve; 2 is a straight line parallel to the mean line 1 and passing through the highest peak; 7 is a straight line parallel to the mean line and located below the highest peak by 2 µm; and ℓ 6 , ℓ 7 , ℓ 8 , ℓ 9 and ℓ 10 are respective lengths of cut portions of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, which respective lengths are determined by cutting the profile curve by means of the straight line 7 over the prescribed length (L). Here, a bearing length ratio tp (2 µm) is a ratio in percentage of the total length of cut portions of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, relative to the prescribed length of the profile curve, which cut portions are determined by cutting the profile curve over the prescrived length (L) thereof by means of the straight line 7 parallel to the horizontal mean line 1 and located below the highest peak in the profile curve by 2 µm. The bearing length ratio tp (2 µm) is expressed by the following formula: tp(2 µm) = (ℓ 6 + ℓ 7 + ℓ 8 + ℓ 9 + ℓ 10 )/L x 100 (%) When the bearing length ratio tp (2 µm) is over 90%, there would be a shortage of the amount of the press oil kept in the concavities. As a result, a shortage of the press oil is caused while a die passes on the flat portion between two adjacent concavities during the press-forming. In addition, the shortage of the amount of press oil kept in the concavities makes it impossible to obtain a static pressure sufficient to resist the contact surface pressure between the die and the steel sheet. Therefore, the press oil film is broken, resulting in die galling and press cracking. When the bearing length ratio tp (2 µm) is under 30%, on the other hand, image clarity after painting is degraded, and an area of the flat portion between concavities would remarkably reduced, and this may result in breakage of the flat portion. The bearing length ratio tp (2 µm) should therefore be limited within a range of from 30 to 90%. In the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention, it is possible to eliminate a surface profile of the alloying-treated iron-zinc alloy dip-plated steel sheet, which has a wavelength within a range of from 100 to 2,000 µm exerting an adverse effect on image clarity after painting, by limiting the depth, the number and the bearing length ratio tp (2 µm) of the numerous fine concavities formed on the alloying-treated iron-zinc alloy dip-plating layer, thereby improving image clarity after painting. The relationship between the surface profile and image clarity after painting of the alloying-treated iron-zinc alloy dip-plated steel sheet will be described later. Now, an alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting of a fourth embodiment of the invention is described in detail with reference to Fig. 4. The fact that the alloying-treated iron-zinc alloy dip-plated steel sheet of the fourth embodiment of the invention has a construction comprising a steel sheet and an alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities formed thereon, is not illustrated in a drawing. However, the alloying-treated iron-zinc alloy dip-plated steel sheet of the fourth embodiment of the invention has also the same construction as that of the alloying-treated iron-zinc alloy dip-plated steel sheet of the second embodiment of the invention as shown in Fig. 2. In the alloying-treated iron-zinc alloy dip-plated steel sheet of the third embodiment of the invention, the fine concavities having a depth of at least 2 µm satisfy the condition as described above. In the alloying-treated iron-zinc alloy dip-plated steel sheet of the fourth embodiment of the invention, in contrast, the fine concavities having a depth of at least 2 µm satisfy not only the above-mentioned condition, but also the following condition that: a bearing length ratio tp (80%) is up to 90%, the bearing length ratio tp (80%) being expressed, when cutting the profile curve over a prescribed length thereof by means of a straight line parallel to the mean line and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough in the profile curve, by a ratio in percentage of a total length of cut portions thus determined of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, relative to the prescribed length of the profile curve, thereby permitting a further improvement of press-formability and image clarity after painting of the alloying-treated iron-zinc dip-plated steel sheet. Fig. 4 is a schematic descriptive view illustrating a profile curve which corresponds to the alloying-treated iron-zinc alloy dip-plated steel sheet of the fourth embodiment of the invention. In Fig. 4, 1 is a straight line, i.e., a means line of a profile curve for which the square-sum of deviations from the profile curve becomes the least over a prescribed length (L) of the profile curve, 2 is a straight line parallel to the mean line 1 and passing through the highest peak; 3 is a straight line parallel to the mean line 1 and passing through the lowest trough; 4 is a straight line parallel to the mean line 1 and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough; and ℓ 11 , ℓ 12 , ℓ 13 , ℓ 14 and ℓ 15 are respective lengths of cut portions of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, which respective lengths are determined by cutting the profile curve by means of the straight line 4 over the prescribed length (L). Here, a bearing length ratio tp (80%) is a ratio in percentage of the total lengths of cut portion of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, relative to the prescribed length of the profile curve, which cut portions are determined by cutting the profile curve over the prescribed length (L) thereof by means of the straight line 4 parallel to the horizontal mean line 1 and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough in the profile curve. The bearing length ratio tp (80%) is expressed by the following formulae: tp (80%) = (ℓ 11 + ℓ 12 + ℓ 13 + ℓ 14 + ℓ 15 )/L x 100 (%) By keeping the value of the bearing length ratio tp (80%) to up to 90%, it is possible to keep the press oil in a sufficient amount in the numerous fine concavities, thereby imparting an excellent press-formability to the alloying-treated iron-zinc alloy dip-plated steel sheet, and at the same time, to impart an excellent image clarity after painting to the alloying-treated iron-zinc alloy dip-plated steel sheet. The alloying-treated iron-zinc alloy dip-plated steel sheet of the fourth embodiment of the invention, which has been described as having a single-layer construction comprising the alloying-treated iron-zinc alloy dip-plating layer, may have a dual-layer construction which comprises the above-mentioned alloying-treated iron-zinc alloy dip-plating layer as a lower layer and a ferrous or iron-zinc alloy plating layer as an upper layer formed thereon. It is also possible to improve lubricity by subjecting at least one surface of the above-mentioned alloying-treated iron-zinc alloy dip-plated steel sheet to an oxide film forming treatment, a chemical treatment, a composite organic resin film forming treatment or a solid lubricant applying treatment. Moreover, in the above-mentioned iron-zinc alloy dip-plated steel sheet, it is possible to improve corrosion resistance thereof by adding aluminum, magnesium, titanium, chromium, nickel, copper, silicon and/or tin to the alloying-treated iron-zinc alloy dip-plating layer. Further studies were carried out on the relationship between the manufacturing conditions of an alloying-treated iron-zinc alloy dip-plated steel sheet such as the cold-rolling condition, the chemical composition of the zinc dip-plating bath, the alloying treatment condition and the temper-rolling condition, on the one hand, and the characteristics such as image clarity after painting, press-formability and powdering resistance of the alloying-treated iron-zinc alloy dip-plated steel sheet, on the other hand. First, the relationship between a surface roughness of the alloying-treated iron-zinc alloy dip-plated steel sheet, i.e., a center-line mean roughness (Ra) and a filtered center-line waviness (Wca), on the one hand, and image clarity after painting of the alloying-treated iron-zinc alloy dip-plated steel sheet, on the other hand, was investigated in accordance with the following method. More particularly, each of various alloying-treated iron-zinc alloy dip-plated steel sheets having surface roughness different from each other, was subjected to a three-coat painting comprising an electropainting step applied for achieving a paint film thickness of 20 µm, an intermediate-painting step applied for achieving a paint film thickness of 35 µm, and a top-painting step applied for achieving a paint film thickness of 35 µm. Image clarity after painting of each of the alloying-treated iron-zinc alloy dip-plated steel sheets thus subjected to the above-mentioned three-coat painting, was measured with the use of an "NSIC-type image clarity measuring instrument" made by Suga Test Instrument Co., Ltd. to determine an assessment value of image clarity after painting (hereinafter referred to as the "NSIC-value"). The results of the investigation are shown in Fig. 5. Fig. 5 is a graph illustrating a relationship between the NSIC-value, the center-line mean roughness (Ra) and the filtered center-line waviness (Wca) of the alloying-treated iron-zinc alloy dip-plated steel sheet. Fig. 5 revealed that there was only a slight correlation between the center-line roughness (Ra), the filtered center-line waviness (Wca) and image clarity after painting of the alloying-treated iron-zinc alloy dip-plated steel sheet. For each of the alloying-treated iron-zinc alloy dip-plated steel sheets after each step of the above-mentioned electropainting step, intermediate-painting step and top-painting step, the center-line mean roughness (Ra) and the filtered center-line waviness (Wca) were measured. The results showed that, for any of the alloying-treated iron-zinc alloy dip-plated steel sheets, the center-line mean roughness (Ra) and the filtered center-line waviness (Wca) converged into certain values at the time of the intermediate-painting step. This revealed that it was impossible to explain changes in image clarity after painting of the alloying-treated iron-zinc alloy dip-plated steel sheet on the basis of the center-line mean roughness (Ra) and the filtered center-line waviness (Wca) of the alloying-treated iron-zinc alloy dip-plated steel sheet. Subsequently, a wavelength of the surface profile of the alloying-treated iron-zinc alloy dip-plated steel sheet was analyzed, and a relationship between a wavelength component and image clarity after painting was investigated in accordance with a method described below. First, 21 profile curves for a measuring length of 8 mm in the X-axis direction were sampled at a pitch of 50 µm in the Y-axis direction by means of a three-dimensional stylus profilometer. Three-dimensional surface profiles drawn at 20 magnifications for X-axis, 40 magnifications for Y-axis, and 1,000 magnifications for Z-axis are shown in Fig. 6. Then, with 1024 data points for each profile curve, the profile curve was subjected to the leveling treatment by the application of the least square method to eliminate a gradient of each profile curve. Then, an irregular waveform of the surface profile of the alloying-treated iron-zinc alloy dip-plated steel sheet, i.e., a waveform showing an irregular fluctuation of height relative to the X-axis, was subjected to the Fourier transformation to decompose the waveform into the square-sum of waveheights for individual wavelengths to calculate a waveheight distribution. The thus obtained waveheight distributions for the 21 profile curves were linearly added and averaged to determine a single waveheight distribution. The square-sum of the waveheights of each wavelength was presented as a power. An amplitude spectrum was obtained by connecting these powers by a straight line. Fig. 7 is a graph illustrating a relationship between a wavelength of a surface profile and a power thereof, obtained through a wavelength analysis, in amplitude spectra of an alloying-treated iron-zinc alloy dip-plated steel sheet. A correlation coefficient between the power for each wavelength of the alloying-treated iron-zinc alloy dip-plated steel sheet and the NSIC-value of the three-coat painted alloying-treated iron-zinc alloy dip-plated steel sheet was determined from the results of the wavelength analysis carried out as described above, and correlation coefficients for the individual wavelengths were plotted. Fig. 8 is a graph illustrating a relationship between a correlation coefficient between an NSIC-value and amplitude spectra of a surface profile in a certain wavelength region of an alloying-treated iron-zinc alloy dip-plated steel sheet, on the one hand, and a wavelength of a surface profile of the alloying-treated iron-zinc alloy dip-plated steel sheet, on the other hand. As shown in Fig. 8, there is a close correlation between image clarity after painting and the power within a wavelength region of from 100 to 2,000 µm, and it was revealed that the surface profile within a wavelength region of from 100 to 2,000 µm exerted an adverse effect on image clarity after painting. Giving attention to the fact that elimination of the surface profile within the wavelength region of from 100 to 2,000 µm is effective for improving image clarity after painting, further studies were carried out. A relationship between a wavelength of a surface profile and a power thereof was investigated, for each of cold-rolled steel sheets subjected to a cold-rolling treatment using, at least at a final roll stand in a cold-rolling mill, rolls of which a surface profile was adjusted so that a center-line mean roughness (Ra) was within a range of from 0.1 to 0.8 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra were obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the cold-rolling treatment, was up to 200 µm 2 , and for each of a plurality of alloying-treated iron-zinc alloy dip-plated steel sheets manufactured under different conditions using the above-mentioned cold-rolled steel sheets. The results are shown in Fig. 9. In Fig. 9, "a" indicates an amplitude spectrum of a cold-rolled steel sheet; "b" indicates an amplitude spectrum of an alloying-treated iron-zinc alloy dip-plated steel sheet not subjected to a temper-rolling; "c" indicates an amplitude spectrum of an alloying-treated iron-zinc alloy dip-plated steel sheet subjected to a temper-rolling with the use of ordinary rolls; and "d" indicates an amplitude spectrum of an alloying-treated iron-zinc alloy dip-plated steel sheet subjected to a temper-rolling with the use of rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is up to 0.5 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the temper-rolling treatment, is up to 200 µm 3 . The integral value of the amplitude spectrum "a" in the wavelength region of from 100 to 2,000 µm was 98 µm 3 , the integral value of the amplitude spectrum "b" in the above-mentioned wavelength region was 160 µm 3 , the integral value of the amplitude spectrum "c" in the above-mentioned wavelength region was 100 µm 3 , and the integral value of the amplitude spectrum "d" in the above-mentioned wavelength region was 50 µm 3 . A relationship between a wavelength of a surface profile and a power thereof was investigated, for each of cold-rolled steel sheets subjected to a cold-rolling treatment using, at least at a final roll stand in a cold-rolling mill, rolls of which a surface profile was adjusted so that a center-line mean roughness (Ra) was within a range of from 0.1 to 0.8 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra were obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the cold-rolling treatment, was up to 500 µm 3 , and for each of a plurality of alloying-treated iron-zinc alloy dip-plated steel sheets manufactured under different conditions using the above-mentioned cold-rolled steel sheets. The results are shown in Fig. 10. In Fig. 10, "a" indicates an amplitude spectrum of a cold-rolled steel sheet; "b" indicates an amplitude spectrum of an alloying-treated iron-zinc alloy dip-plated steel sheet not subjected to a temper-rolling; "c" indicates an amplitude spectrum of an alloying-treated iron-zinc alloy dip-plated steel sheet subjected to a temper-rolling with the use of ordinary rolls; and "d" indicates an amplitude spectrum of an alloying-treated iron-zinc alloy dip-plated steel sheet subjected to a temper-rolling with the use of rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is up to 0.5 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the temper-rolling treatment, is up to 100 µm 3 . The integral value of the amplitude spectrum "a" in the wavelength region of from 100 to 2,000 µm was 485 µm 3 , the integral value of the amplitude spectrum "b" in the above-mentioned wavelength region was 523 µm 3 , the integral value of the amplitude spectrum "c" in the above-mentioned wavelength region was 250 µm 3 , and the integral value of the amplitude spectrum "d" in the above-mentioned wavelength region was 70 µm 3 . Findings obtained from Figs. 9 and 10 were as follows: (1) It is possible to impart an excellent image clarity after painting to an alloying-treated iron-zinc alloy dip-plated steel sheet, by applying a zinc dip-plating treatment and an alloying treatment followed by an temper-rolling treatment to a cold-rolled steel sheet, subjected to a cold-rolling treatment using, at least at a final roll stand in a cold-rolling mill, rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is within a range of from 0.1 to 0.8 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the cold-rolling treatment, is up to 200 µm 3 ; and (2) It is possible to impart a further excellent image clarity after painting to an alloying-treated iron-zinc alloy dip-plated steel sheet, by applying a zinc dip-plating treatment and an alloying treatment followed by a temper-rolling treatment to a cold-rolled steel sheet, subjected to a cold-rolling treatment using, at least at a final roll stand in a cold-rolling mill, rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is within a range of from 0.1 to 0.8 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the cold-rolled steel sheet after the cold-rolling treatment, is up to 500 µm 3 , the above-mentioned temper-rolling treatment being carried out using rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is up to 0.5 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the alloying-treated iron-zinc alloy dip-plated steel sheet after the temper-rolling treatment, is up to 200 µm 3 . Fig. 11 is a graph illustrating, in an alloying-treated iron-zinc alloy dip-plated steel sheet manufactured by a conventional manufacturing method including a conventional temper-rolling treatment using ordinary temper-rolling rolls, a relationship between an elongation rate of the steel sheet brought about by the temper-rolling treatment, on the one hand, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm of the cold-rolled steel sheet, on the other hand. As shown in Fig. 11, when a conventional temper-rolling is carried out using ordinary temper-rolling rolls, a satisfactory image clarity after painting is available by using, as a substrate sheet for plating, a cold-rolled steel sheet subjected to a cold-rolling treatment so that a integral value of the amplitude spectra in the wavelength region of from 100 to 2,000 µm is up to 200 µm 3 . Fig. 12 is a graph illustrating, in an alloying-treated iron-zinc alloy dip-plated steel sheet manufactured by any of the methods, which include a temper-rolling treatment using special rolls of which a surface profile is adjusted so that a center-line mean roughness (Ra) is up to 0.5 µm, and an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm, which amplitude spectra are obtained through the Fourier transformation of a profile curve of the alloying-treated iron-zinc alloy dip-plated steel sheet after the temper-rolling treatment, is up to 200 µm 3 , a relationship between an elongation rate of the plated steel sheet brought about by the temper-rolling treatment, on the one hand, and an integral value of the amplitude spectra in a wavelength region of from 100 to 2,000 µm 3 of the cold-rolled steel sheet, on the other hand. As shown in Fig. 24, it is possible to obtain a satisfactory image clarity after painting, by using, as a substrate sheet for plating, a cold-rolled steel sheet subjected to a temper-rolling treatment so that an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm is up to 500 µm 3 relative to the elongation rate of up to 5.0% of the steel sheet in the temper-rolling treatment. Since the range of manufacturing conditions of alloying-treated zinc dip-plated steel sheets excellent in image clarity after painting becomes wider in this case, there is available an improved productivity. Fig. 13 is a graph illustrating a relationship between an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm of an alloying-treated iron-zinc alloy dip-plated steel sheet and an NSIC-value thereof. As shown in Fig. 13, when an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm of an alloying-treated iron-zinc alloy dip-plated steel sheet is up to 200 µm 3 , the NSIC-value becomes at least 85, suggesting image clarity after painting on a satisfactory level. Fig. 14 is a graph illustrating a relationship between an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm for each of a cold-rolled steel sheet and an alloying-treated iron-zinc alloy dip-plated steel sheet, on the one hand, and an elongation rate of a plated steel sheet brought about by a temper-rolling treatment, on the other hand. In Fig. 14, the vertical line indicated as "cold-rolled steel sheet" on the abscissa represents an integral value of amplitude spectra in a wavelength region of from 100 to 2,000 µm of the cold-rolled steel sheet, and the vertical line indicated as "elongation rate: 0.0" on the abscissa represents an integral value of amplitude spectra in the above-mentioned wavelength region of the alloying-treated iron-zinc alloy dip-plated steel sheet before the temper-rolling treatment. The vertical line indicated as "elongation rate: 1.0 to 5.0" on the abscissa represents an integral value of amplitude spectra in the above-mentioned wavelength region of the alloying-treated iron-zinc alloy dip-plated steel sheet as temper-rolled with respective elongation rates. The mark "" indicates an example within the scope of the present invention, and the mark "○" indicates an example for comparison outside the scope of the present invention. The dotted line indicates a cases of using ordinary temper-rolling rolls, and the solid line, a case of using special temper-rolling rolls according to the present invention. As shown in Fig. 14, in order to achieve an integral value of amplitude spectra of up to 200 µm 3 in a wavelength region of from 100 to 2,000 µm of the alloying-treated iron-zinc alloy dip-plated steel sheet through the temper-rolling treatment with an elongation rate of up to 5.0%, it is necessary to achieve an integral value of amplitude spectra of up to 500 µm 3 in a wavelength region of from 100 to 2,000 µm of the cold-rolled steel sheet, relative to the elongation rate during the temper-rolling. It is possible to manufacture an alloying-treated iron-zinc alloy dip-plated steel sheet having an alloying-treated iron-zinc alloy dip-plating layer provided with numerous fine concavities satisfying the following conditions, by combining the above-mentioned special conditions regarding the cold-rolling treatment and the temper-rolling treatment and the above-mentioned special conditions regarding the zinc dip-plating treatment and the alloying treatment: (1) most of the numerous fine concavities have a depth of at least 2 µm; (2) the number of fine concavities having a depth of at least 2 µm is within a range of from 200 to 8,200 per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer; and (3) the fine concavities having a depth of at least 2 µm further satisfy the following conditions: a bearing length ratio tp (2 µm) is within a range of from 30 to 90%, the bearing length ratio tp (2 µm) being expressed, when cutting a profile curve over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak in the profile curve by 2 µm, by a ratio in percentage of a total length of cut portions thus determined of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the profile curve, relative to the prescribed length of the profile curve. Now, the alloying-treated iron-zinc alloy dip-plated steel sheet is described further in detail by means of examples while comparing with examples for comparison. Example 1 Various alloying-treated iron-zinc dip-plated steel sheets within the scope of the present invention, of which the plating weight was adjusted to 60 g/m 3 per surface of the steel sheet were manufactured by means of a continuous zinc dip-plating line with the use of a plurality of cold-rolled steel sheets having a thickness of 0.8 mm. More specifically, each of the cold-rolled steel sheets was annealed in a continuous zinc dip-plating line, and the thus annealed cold-rolled steel sheet was passed through a zinc dip-plating bath having a chemical composition comprising zinc, 0.17 wt.% aluminum and incidental impurities, to subject the cold-rolled steel sheet to a zinc dip-plating treatment, thereby forming a zinc dip-plating layer on each of the both surfaces of the cold-rolled steel sheet. Then, the cold-rolled steel sheet having zinc dip-plating layers formed on the both surfaces thereof, was subjected to an alloying treatment at a temperature of 510 °C in an alloying furnace, thereby forming an alloying-treated iron-zinc alloy dip-plating layer on each of the both surfaces of the cold-rolled steel sheet. The thus formed alloying-treated iron-zinc alloy dip-plating layer had numerous fine concavities having a depth of at least 2 µm. The number of fine concavities having a depth of at least 2 µm per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, was caused to change by using cold-rolled steel sheets having different crystal grain sizes. In this Example 1, the crystal grain size was adjusted by changing the chemical composition and the annealing conditions of the cold-rolled steel sheet. Adjustment of the crystal grain size may cause a variation of quality of the cold-rolled steel sheet. When a change in quality of the cold-rolled steel sheet is to be avoided, it suffices to, during the passage of the cold-rolled steel sheet through the continuous zinc dip-plating line, anneal the steel sheet after giving a strain on the surface portion of the steel sheet in the annealing furnace. This permits adjustment of the size of crystal grains of only the outermost surface portion of the steel sheet and enables to keep a constant crystal grain size in the interior of the steel sheet, thus making it possible to manufacture steel sheets which are uniform in quality but different in crystal grain size of the surface portion. Samples within the scope of the present invention (hereinafter referred to as the "samples of the invention") Nos. 4 to 10 and 12 to 14 were prepared from the thus manufactured plurality of alloying-treated iron-zinc alloy dip-plated steel sheets. For comparison purposes, samples outside the scope of the present invention (hereinafter referred to as the "samples for comparison") Nos. 1 to 3, 11, 15 and 16 were prepared from alloying-treated iron-zinc alloy dip-plated steel sheets outside the scope of the present invention. The samples for comparison Nos. 1 to 3 were prepared from alloying-treated iron-zinc alloy dip-plated steel sheets manufactured in accordance with the above-mentioned prior art 3, and the sample for comparison No. 16 was prepared from an alloying-treated iron-zinc alloy dip-plated steel sheet manufactured in accordance with the above-mentioned prior art 4. Then, for each of the samples of the invention Nos. 4 to 10 and 12 to 14, and the samples for comparison Nos. 1 to 3, 11, 15 and 16, press-formability and powdering resistance were investigated in accordance with test methods as described below. The surface of each sample was observed with the use of a scanning-type electron microscope to investigate the forming of numerous fine concavities in the alloying-treated iron-zinc alloy dip-plating layer. Fig. 15 is a scanning-type electron microphotograph of the surface structure of the sample of the invention No. 4 as a typical example of the alloying-treated iron-zinc alloy dip-plated steel sheet of the first embodiment of the invention, and Fig. 16 is a scanning-type electron microphotograph of the surface structure of the sample for comparison No. 1 as a typical example of the conventional alloying-treated iron-zinc alloy dip-plated steel sheet. As is clear from Figs. 15 and 16, numerous fine concavities having a depth of at least 2 µm, which were not present on the alloying-treated iron-zinc alloy dip-plating layer of the conventional alloying-treated iron-zinc alloy dip-plated steel sheet, were formed on the alloying-treated iron-zinc alloy dip-plating layer of the sample of the invention No. 4. The number of fine concavities having a depth of at least 2 µm was determined, by observing the surface of each sample with the use of a scanning-type electron microscope, measuring the number of concavities in an area of 25 mm 2 in a photograph enlarged to 100 magnifications, and converting the measured number into the number in an area of 1 mm 2 . For each sample, the number of fine concavities having a depth of at least 2 µm per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, the ratio in percentage of the total opening area per a unit area of fine concavities having a depth of at least 2 µm relative to the unit area (hereinafter referred to as the "area ratio of concavities"), and the average area of fine concavities having a depth of at least 2 µm are shown in Table 1. Press-formability was tested in accordance with the following method. More specifically, a coefficient of friction of the surface of the alloying-treated iron-zinc alloy dip-plated steel sheet for evaluating press-formability, was measured with the use of a frictional coefficient measurer as shown in Fig. 17. A bead 14 used in this test comprised tool steel specified in SKD 11 of the Japanese Industrial Standard (JIS). There was a contact area of 3 mm× 10 mm between the bead 14 and a sample 15 (i.e., each of the samples of the invention Nos. 4 to 10 and 12 to 14, and the samples for comparison Nos. 1 to 3, 11, 15 and 16). The sample 15 applied with a lubricant oil on the both surfaces thereof was fixed on a test stand 16 on rollers 17. While pressing the bead 14 against the sample 15 under a pressing load (N) of 400 kg, the test stand 16 was moved along a rail 20 to pull the sample 15 together with the test stand 16 at a rate of 1 m/minute. A pulling load (F) and the pressing load (N) at this moment were measured with the use of load cells 18 and 19. A coefficient of friction (F/N) of the sample 15 was calculated on the basis of the pulling load (F) and the pressing load (N) thus measured. The lubricant oil applied onto the surface of the sample 15 was "NOX RUST 530F" manufactured by Nihon Perkerizing Co., Ltd. The criteria for evaluation of press-formability were as follows: Value of coefficient of friction (F/N) of under 0.150 : good press-formability Value of coefficient of friction (F/N) of at least 0.15 : poor press-formability. Powdering resistance was tested in accordance with the following method. More specifically, powdering resistance, which serves as an index of peeling property of an alloying-treated iron-zinc alloy dip-plating layer, was evaluated as follows, using a draw-bead tester as shown in Figs. 18 and 19. First, an alloying-treated iron-zinc alloy dip-plating layer on a surface not to be measured of a sample 23 (i.e., each of the samples of the invention Nos. 4 to 10 and 12 to 14, and the samples for comparison Nos. 1 to 3, 11, 15 and 16) having a width of 30 mm and a length of 120 mm, was removed through dissolution by a diluted hydrochloric acid. Then, the sample 23 was degreased, and the weight of the sample 23 was measured. Then, a lubricant oil was applied onto the both surfaces of the sample 23, which was then inserted into a gap between a bead 21 and a female die 22 of the draw-bead tester. Then, the female die 22 was pressed through the sample 23 against the bead 21 under a pressure (P) of 500 kgf/cm 2 by operating a hydraulic device 25. A pressing pressure (P) was measured with the use of a load cell 24. The sample 23 thus placed between the bead 21 and the female die 22 was then pulled out from the draw-bead tester at a pulling speed (V) of 200 mm/minute to squeeze same. The lubricant oil applied onto the surface of the sample 15 was "NOX RUST 530F" made by Nihon Parkerizing Co., Ltd. Then, the sample 23 was degreased. An adhesive tape was stuck onto a surface to be measured, and then the adhesive tape was peeled off from the surface to be measured. Then, the sample 23 was degreased again and weighed. Powdering resistance was determined from the difference in weight between before and after the test. The criteria for evaluation of powdering resistance were as follows: Amount of powdering of under 5 g/m 2 : good powdering resistance Amount of powdering of at least 5 g/m 2 : poor powdering resistance. The results of the above-mentioned tests of press-formability and powdering resistance are shown also in Table 1. As is clear from Table 1, the samples for comparison Nos. 1 to 3 were poor in press-formability because the number of fine concavities having a depth of at least 2 µm was small outside the scope of the present invention, and the coefficient of friction was larger as compared with the samples of the invention. Since the samples for comparison Nos. 1 to 3 were manufactured by temper-rolling an alloying-treated iron-zinc alloy dip-plated steel sheet with the use of dull rolls of which the surface roughness had been adjusted, the alloying-treated iron-zinc alloy dip-plating layers of the samples for comparison Nos. 1 to 3 had flaws caused during the temper-rolling. In the samples for comparison Nos. 1 to 3, the alloying-treated iron-zinc alloy dip-plating layer tended to easily be peeled off, and consequently, the samples for comparison Nos. 1 to 3 were poor in powdering resistance. The sample for comparison No. 11, which had a large area ratio of concavities outside the scope of the present invention, showed a small coefficient of friction, resulting in a good press-formability, but a poor powdering resistance. The samples for comparison Nos. 15 and 16, which had a small area ratio of concavities outside the scope of the present invention, showed a coefficient of friction larger than that of the samples of the invention, resulting in a poor press-formability. In contrast, the samples of the invention Nos. 4 to 10 and 12 to 14 were good in press-formability and powdering resistance. Example 2 Various alloying-treated iron-zinc alloy dip-plated steel sheets within the scope of the present invention were manufactured by adding, to the manufacturing conditions in the above-mentioned Example 1 of the invention, the following conditions regarding the numerous fine concavities having a depth of at least 2 µm, that: a bearing length ratio tp (80%) is up to 90%, the bearing length ratio tp (80%) being expressed, when cutting a roughness curve having a cutoff value of 0.8 mm over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak by 80% of a vertical distance berween the highest peak and the lowest trough in the roughness curve, by a ratio in percentage of a total length of cut portions thus determined of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the roughness curve, relative to the prescribed length of the roughness curve. Samples of the invention Nos. 17 to 28 were prepared from the thus manufactured alloying-treated iron-zinc alloy dip-plated steel sheets. Then, a test of the above-mentioned press-formability was carried out on each of the samples of the invention Nos. 17 to 28. The test results are shown in Table 2. The criteria for evaluation of press-formability were as follows: Value of coefficient of friction (F/N) of up to 0.142 : Very good press-formability Value of coefficient of friction (F/N) of from over 0.142 to under 0.150 : Good press-formability Value of coefficient of friction (F/N) of at least 0.150 : Poor press-formability. Determination of the bearing length ratio tp (80%) was accomplished by measuring a roughness curve (a cutoff value of 0.8 mm) of surfaces of the samples with the use of a stylus profilometer "SURFCOM 570A" made by Tokyo Seimitsu Co., Ltd. For all the samples, values of the bearing length ratio tp (80%), the number of fine concavities having a depth of at least 2 µm per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, and the area ratio of concavities are also shown in Table 2. For information, values of the bearing length ratio tp (80%) of each of the samples in the Example 1 of the invention are also shown in Table 1. As is clear from Table 2, the samples of the invention Nos. 18, 20, 22, 24, 26 and 28 manufactured so that the fine concavities having a depth of at least 2 µm satisfied the above-mentioned conditions regarding the bearing length ratio tp (80%), had a very good press-formability. Now, the alloying-treated iron-zinc alloy dip-plated steel sheet of the second embodiment of the invention is described below further in detail by means of examples while comparing with examples for comparison. Example 3 Various alloying-treated iron-zinc alloy dip-plated steel sheets within the scope of the present invention were manufactured in accordance with the same method as in the above-mentioned Example 1 of the invention. Then, the thus manufactured plurality of alloying-treated iron-zinc alloy dip-plated steel sheets were subjected to a temper-rolling treatment at an elongation rate of at least 1.0%, with the use of skin-pass rolls for bright-finishing having roll surfaces adjusted to have a center-line mean roughness (Ra) of 0.2 µm. During the above-mentioned temper-rolling treatment, the value of bearing length ratio tp (2 µm) was changed by altering the elongation rate. The bearing length ratio tp (2 µm) was determined by measuring a profile curve of the surface of the plated steel sheet with the use of a stylus profilometer "SURCOM 570A" made by Tokyo Seimitsu Co., Ltd, as in the Example 2 of the invention. Samples within the scope of the present invention (hereinafter referred to as the "samples of the invention") Nos. 32 to 38 and 40 to 42 were prepared from the plurality of alloying-treated iron-zinc alloy dip-plated steel sheets thus subjected to the temper-rolling treatment. For comparison purposes, samples outside the scope of the present invention (hereinafter referred to as the "samples for comparison") Nos. 29 to 31, 39, 43 and 44 were prepared from alloying-treated iron-zinc alloy dip plated steel sheets outside the scope of the present invention. The samples for comparison Nos. 29 to 31 were prepared from the alloying-treated iron-zinc alloy dip-plated steel sheets manufactured in accordance with the above-mentioned prior art 3, and the sample for comparison No. 44 was prepared from the alloying-treated iron-zinc alloy dip-plated steel sheet manufactured in accordance with the above-mentioned prior art 4. Then, for each of the samples of the invention Nos. 32 to 38 and 40 to 42, and the samples for comparison Nos. 29 to 31, 39, 43 and 44, press-formability, powdering resistance and image clarity after painting were investigated in accordance with test methods as described below. The number of fine concavities having a depth of at least 2 µm formed on the alloying-treated iron-zinc alloy dip-plating layer of each sample was determined in accordance with the same method as in the Example 1 of the invention. As in the Example 1 of the invention, it was confirmed that numerous fine concavities having a depth of at least 2 µm, which were not present on the alloying-treated iron-zinc alloy dip-plating layer of a conventional alloying-treated iron-zinc dip-plated steel sheet, were formed on the alloying-treated iron-zinc alloy dip-plating layer of the Example 3 of the invention. For each sample, the number of fine concavities having a depth of at least 2 µm per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, the average area of fine concavities having a depth of at least 2 µm, and the bearing length ratio tp (2 µm) are shown in Table 3. Press-formability was tested in accordance with the same method as in the Example 1 of the invention. The criteria for evaluation of press-formability were also the same as those in the Example 1 of the invention. The results of the press-formability test are shown also in Table 3. Powdering resistance was tested in accordance with the same method as in the Example 1 of the invention. The criteria for evaluation of powdering resistance were also the same as those in the Example 1 of the invention. The results of the powdering resistance test are shown also in Table 3. Image clarity after painting was tested in accordance with the following method. More specifically, each sample was subjected to a chemical treatment with the use of a chemical treatment liquid "PB-L3080" made by Nihon Perkerizing Co., Ltd., and then to a three-coat painting which comprised an electropainting step, an intermediate-painting step, and a top-painting step with the use of paints "E1-2000" for the electropainting, "TP-37 GRAY" for the intermediate-painting and "TM-13(RC)" for the top-painting, made by Kansai Paint Co., Ltd. For each of the thus painted samples, an evaluation value of image clarity after painting, i.e., an NSIC-value, was measured with the use of an "NSIC-type image clarity measurement instrument" made by Suga Test Instrument Co., Ltd. A black polished glass has an NSIC-value of 100, and an NSIC-value closer to 100 corresponds to a better image clarity after painting. The results of the test of image clarity after painting are shown also in Table 3. As is clear from Table 3, the samples for comparison Nos. 29 to 31 were poor in press-formability because the number of fine concavities having a depth of at least 2 µm was small outside the scope of the present invention, and the coefficient of friction was larger as compared with the samples of the invention. In addition, the samples for comparison Nos. 29 to 31 had a smaller NSIC-value as compared with that of the samples of the invention, resulting in a poor image clarity after painting. Furthermore, since the samples for comparison Nos. 29 to 31 were manufactured by temper-rolling the alloying-treated iron-zinc alloy dip-plated steel sheets with the use of the dull rolls of which the surface roughness had been adjusted, the alloying-treated iron-zinc alloy dip-plating layers of the samples for comparison Nos. 29 to 31 had flaws caused during the temper-rolling. In the samples for comparison Nos. 29 to 31, the alloying-treated iron-zinc alloy dip-plating layer tended to easily be peeled off, and consequently, the samples for comparison Nos. 29 to 31 were poor in powdering resistance. The sample for comparison No. 39, which had a small bearing length ratio tp (2 µm) outside the scope of the present invention, showed a smaller NSIC-value as compared with that of the samples of the invention, resulting in a poor image clarity after painting. The sample for comparison No. 43, which had a large bearing length ratio tp (2 µm) outside the scope of the present invention, showed a larger coefficient of friction as compared with that of the samples of the invention, resulting in a poor press-formability. The sample for comparison No. 44, which had a small bearing length ratio tp (2 µm) outside the scope of the present invention, showed in a larger coefficient of friction as compared with that of the samples of the invention, resulting in a poor press-formability. In addition, the sample for comparison No. 44 had a smaller NSIC-value as compared with that of the samples of the invention, and as a result, showed a poor image clarity after painting. In contrast, all the samples of the invention Nos. 32 to 38 and 40 to 42 were good in all of press-formability, powdering resistance and image clarity after painting. Example 4 Various alloying-treated iron-zinc alloy dip-plated steel sheets within the scope of the present invention were manufactured by adding, to the manufacturing conditions in the above-mentioned Example 3 of the invention, the following conditions regarding the numerous fine concavities having a depth of at least 2 µm, that: a bearing length ratio tp (80%) is up to 90%, the bearing length ratio tp (80%) being expressed, when cutting a roughness curve having a cutoff value of 0.8 mm over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough in the roughness curve, by a ratio in percentage of a total length of cut portions thus determined of the alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to the roughness curve, relative to the prescribed length of the roughness curve. Samples of the invention Nos. 45 to 56 were prepared from the thus manufactured alloying-treated iron-zinc alloy dip-plated steel sheets. Then, tests on the above-mentioned press-formability and image clarity after painting were carried out for each of the samples of the invention Nos. 45 to 56. The test results are shown in Table 4. The criteria for evaluation of press-formability were as follows: Value of coefficient of friction (F/N) of up to 0.142 : Very good press-formability Value of coefficient of friction (F/N) of from over 0.142 to under 0.150 : Good press-formability Value of coefficient of friction (F/N) of at least 0.150 : Poor press-formability. Determination of the bearing length ratio tp (2 µm) and the bearing length ratio tp (80%) was accomplished by measuring a profile curve and a roughness curve (a cutoff value of 0.8 mm), respectively, of the surfaces of the samples with the use of a stylus profilometer "SURFCOM 570A" made by Tokyo Seimitsu Co., Ltd. as in the Example 2 of the invention. For all the samples, values of the number of fine concavities having a depth of at least 2 µm per mm 2 of the alloying-treated iron-zinc alloy dip-plating layer, the bearing length ratio tp (2 µm) and the bearing length ratio tp (80%) are also shown in Table 4. As is clear from Table 4, the samples of the invention Nos. 46, 48, 50, 52, 54 and 56, which were manufactured so that the fine concavities having a depth of at least 2 µm satisfied the above-mentioned conditions regarding the bearing length ratio tp (80%), had a very good press-formability, and all the samples of the invention Nos. 45 to 56 were good in image clarity after painting.

Claims: An alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability, which comprises: a steel sheet; and an alloying-treated iron-zinc alloy dip-plating layer formed on at least one surface of said steel sheet, said alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities on the surface thereof; characterized in that: the number of fine concavities having a depth of at least 2 µm from among said numerous fine concavities is within a range of from 200 to 8,200 per mm 2 of said alloying-treated iron-zinc alloy dip-plating layer; and the total opening area per unit area of said fine concavities having a depth of at least 2 µm in said alloying-treated iron-zinc alloy dip-plating layer, is within a range of from 10 to 70% of said unit area. An alloying-treated iron-zinc alloy dip-plated steel sheet as claimed in Claim 1, wherein: said fine concavities having a depth of at least 2 µm further satisfies the following condition: a bearing length ratio tp (80%) is up to 90%, said bearing length ratio tp (80%) being expressed, when cutting a roughness curve having a cutoff value of 0.8 mm over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough in said roughness curve, by a ratio in percentage of a total length of cut portions thus determined of said alloying-treated iron-zinc-alloy dip-plating layer having a surface profile which corresponds to said roughness curve, relative to said prescribed length of said roughness curve. An alloying-treated iron-zinc alloy dip-plated steel sheet excellent in press-formability and image clarity after painting, which comprises: a steel sheet; and an alloying-treated iron-zinc alloy dip-plating layer formed on at least one surface of said steel sheet, said alloying-treated iron-zinc alloy dip-plating layer having numerous fine concavities on the surface thereof; characterized in that: the number of fine concavities having a depth of at least 2 µm from among said numerous fine concavities is within a range of from 200 to 8,200 per mm 2 of said alloying-treated iron-zinc alloy dip-plating layer; and said fine concavities having a depth of at least 2 µm further satisfy the following condition: a bearing length ratio tp (2 µm) is within a range of from 30 to 90%, said bearing length ratio tp (2 µm) being expressed, when cutting a profile curve over a prescribed length thereof by means of a straight line parallel to a horizontal mean line and located below the highest peak in said profile curve by 2 µm, by a ratio in percentage of a total length of cut portions thus determined of said alloying-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to said profile curve, relative to said prescribed length of said profile curve. An alloying-treated iron-zinc alloy dip-plated steel sheet as claimed in Claim 3, wherein: said fine concavities having a depth of at least 2 µm further satisfy the following condition: a bearing length ratio tp (80%) is up to 90%, said bearing ratio tp (80%) being expressed, when cutting said profile curve over said prescribed length thereof by means of a straight line parallel to said mean line and located below the highest peak by 80% of a vertical distance between the highest peak and the lowest trough in said profile curve, by a ratio in percentage of a total length of cut portions thus determined of said alloy-treated iron-zinc alloy dip-plating layer having a surface profile which corresponds to said profile curve, relative to said prescribed length of said profile curve. An alloying-treated iron-zinc alloy dip-plated steel sheet as claimed in any one of Claims 1 to 4, wherein: the number of said fine concavities having a depth of at least 2 µm is within a range of from 500 to 3,000 per mm 2 of said alloying-treated iron-zinc alloy dip-plating layer.

Inventors: INAGAKI JUNICHI, SAKURAI MICHITAKA, TAHARA KENJI, WATANABE TOYOFUMI, INAGAKI, JUNICHI, SAKURAI, MICHITAKA, TAHARA, KENJI, WATANABE, TOYOFUMI
Applicants: NIPPON KOKAN KK, NKK CORPORATION
Application year: 1994
Main classification: C23C2
IPC codes: C23C2